压水堆功率跟踪自适应保性能控制器设计

Load-following adaptive guaranteed cost control of pressurized water reactors

针对压水堆动态模型的高度非线性和不确定性特点,本文提出一种自适应保性能跟踪控制器(adaptive guaranteed cost control,AGCC)设计方法.首先以堆芯的点堆方程为基础,引入功率跟踪误差的积分项,构造反应堆的增广状态空间模型,再结合线性参数变化(linear parameter varying,LPV)理论,建立了堆芯系统的多胞LPV模型.该控制器的控制输入由状态反馈控制和不确定性补偿组成,结合保性能控制理论和多胞模型理论,求解线性矩阵不等式得到变增益状态反馈矩阵,确保闭环系统全局渐近稳定;利用李亚普诺夫稳定理论得到不确定性参数的自适应律,实现对系统不确定性的动态补偿.仿真结果表明,该控制器不仅对系统不确定项具有自适应性,而且有较好的负荷跟踪性能.

Due to the pressurized water reactor(PWR) has the features of highly nonlinearity and uncertainty, an adaptive guaranteed cost controller for load-following is proposed in this paper. At first, on the basis of the point reactor model and the introduction of an integral item of the power level error, the augmented state space model of the reactor system is derived. Then the polytopic linear parameter varying(LPV) model is established combining with the LPV theory. The control input generated by the proposed controller is constituted by the state feedback control and the uncertainty compensation. By polytopic model theory and linear matrix inequality techniques, a gain-scheduled state feedback controller which provides globally asymptotic closed-loop stability is designed. Utilizing the Lyapunov theory and guaranteed cost control theory, an adaptive control law for uncertainty is developed. Numerical simulation results illustrate the high control performance of the proposed method in load-following operation.